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11068032 = 273193741
BaseRepresentation
bin101010001110…
…001010000000
3202211022111010
4222032022000
510313134112
61033120520
7163035213
oct52161200
922738433
1011068032
11627a638
123859140
1323a6a41
14168177a
15e8963c
hexa8e280

11068032 has 128 divisors (see below), whose sum is σ = 32558400. Its totient is φ = 3317760.

The previous prime is 11068019. The next prime is 11068033. The reversal of 11068032 is 23086011.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11068033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269932 + ... + 269972.

Almost surely, 211068032 is an apocalyptic number.

11068032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16279200).

11068032 is an abundant number, since it is smaller than the sum of its proper divisors (21490368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11068032 is a wasteful number, since it uses less digits than its factorization.

11068032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11068032 is about 3326.8651911371. The cubic root of 11068032 is about 222.8555574227.

The spelling of 11068032 in words is "eleven million, sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 41 48 57 64 74 76 82 96 111 114 123 128 148 152 164 192 222 228 246 296 304 328 384 444 456 492 592 608 656 703 779 888 912 984 1184 1216 1312 1406 1517 1558 1776 1824 1968 2109 2337 2368 2432 2624 2812 3034 3116 3552 3648 3936 4218 4551 4674 4736 5248 5624 6068 6232 7104 7296 7872 8436 9102 9348 11248 12136 12464 14208 15744 16872 18204 18696 22496 24272 24928 28823 33744 36408 37392 44992 48544 49856 57646 67488 72816 74784 86469 89984 97088 99712 115292 134976 145632 149568 172938 194176 230584 269952 291264 299136 345876 461168 582528 691752 922336 1383504 1844672 2767008 3689344 5534016 11068032